Model of the telegraph line and its numerical solution

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F18%3A10240462" target="_blank" >RIV/61989100:27740/18:10240462 - isvavai.cz</a>

Alternative codes found

RIV/00216305:26230/18:PU131164

Result on the web

<a href="https://www.degruyter.com/view/j/comp.2018.8.issue-1/comp-2018-0002/comp-2018-0002.xml?format=INT" target="_blank" >https://www.degruyter.com/view/j/comp.2018.8.issue-1/comp-2018-0002/comp-2018-0002.xml?format=INT</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1515/comp-2018-0002" target="_blank" >10.1515/comp-2018-0002</a>

Result language

angličtina

Original language name

Model of the telegraph line and its numerical solution

Original language description

This paper deals with a model of the telegraph line that consists of system of ordinary differential equations, rather than partial differential telegraph equation. Numerical solution is then based on an original mathematical method. This method uses the Taylor series for solving ordinary differential equations with initial condition - initial value problems in a non-traditional way. Systems of ordinary differential equations are solved using variable order, variable step-size Modern Taylor Series Method. The Modern Taylor Series Method is based on a recurrent calculation of the Taylor series terms for each time interval. The second part of paper presents the solution of linear problems which comes from the model of telegraph line. All experiments were performed using MATLAB software, the newly developed linear solver that uses Modern Taylor Series Method. Linear solver was compared with the state of the art solvers in MATLAB and SPICE software.

Czech name

—

Czech description

—

Type

J_ost - Miscellaneous article in a specialist periodical

CEP classification

—

OECD FORD branch

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Project

<a href="/en/project/LQ1602" target="_blank" >LQ1602: IT4Innovations excellence in science</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2018

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

OPEN COMPUTER SCIENCE

ISSN

2299-1093

e-ISSN

—

Volume of the periodical

8

Issue of the periodical within the volume

1

Country of publishing house

PL - POLAND

Number of pages

8

Pages from-to

10-17

UT code for WoS article

000441606500001

EID of the result in the Scopus database

2-s2.0-85056384555